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JSRI 2019, 15(2): 317-333 Back to browse issues page
A Quantile Approach to the Interval Shannon Entropy
Mohammad Khorashadizadeh *
University of Birjand , m.khorashadizadeh@birjand.ac.ir
Abstract:   (301 Views)
In this paper, we introduce and study quantile version of the Shannon entropy function via doubly truncated (interval) lifetime, which includes the residual and past lifetimes as special case. We aim to study the use of proposed measure in characterization of distribution functions. Further, we describe a stochastic order and a weighted distribution based on this entropy and show their properties. Finally, some results have been obtained for some distributions such as Uniform, Exponential, Pareto I, Power function and Govindarajulu. Also by analysing a real data the subject has been illustrated. 
Keywords: Shannon entropy, quantile function, generalized failure rate, quantile doubly truncated Shannon entropy.
Full-Text [PDF 2753 kb]   (152 Downloads)    
Type of Study: Research | Subject: General
Received: 2018/10/31 | Accepted: 2019/12/8 | Published: 2019/12/12
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Khorashadizadeh M. A Quantile Approach to the Interval Shannon Entropy. JSRI. 2019; 15 (2) :317-333
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Volume 15, Issue 2 (3-2019) Back to browse issues page
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